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arXiv · 1110.2969

Supersymmetry and DLCQ Limit of Lie 3-algebra Model of M-theory

Matsuo Sato
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Abstract

In arXiv:1003.4694, we proposed two models of M-theory, Hermitian 3-algebra model and Lie 3-algebra model. In this paper, we study the Lie 3-algebra model with a Lorentzian Lie 3-algebra. This model is ghost-free despite the Lorentzian 3-algebra. We show that our model satisfies two criteria as a model of M-theory. First, we show that the model possesses N=1 supersymmetry in eleven dimensions. Second, we show the model reduces to BFSS matrix theory with finite size matrices in a DLCQ limit.

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Matsuo Sato. 2011-10-13. Supersymmetry and DLCQ Limit of Lie 3-algebra Model of M-theory. https://doi.org/10.1103/physrevd.85.046003

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